Effect of Slenderness Ratio on Crack Parameters of Simply Supported Shaft

Abstract

Transverse crack is a common occurrence present in over simply supported shaft. The development of crack in a shaft is leads to catastrophic failure, which will affect the dynamic behavior such a local stiffness and stress intensity factor of the given shaft. The change in stiffness and stress intensity factor will lead to change in eigenfrequency with their mode shapes at different crack location and depth.In the present study a methodology is applied for detecting multi crack with its location and size due to transverse crack at same angular position along longitudinal direction at different slenderness ratioThe shaft is subjected to both axial and bending load. The behavior of the shaft in presence of two transverse cracks subjected to are observed by taking basic parameters such as non-dimensional depth (bi/D), non-dimensional length (Li/L) and three relative natural frequencies with their relative mode shapes. The compliance matrix is calculated from stress intensity factor for two degrees of freedom. The compliance matrix is a function of crack parameters such as depth and location of crack. The three relative natural frequencies and their mode shapes at different location and depth obtained analytical. In the Present Research, the method of validating results for crack location and depth with its intensity in using Genetic algorithm. At the beginning, theoretical analyses have been outlined for determining crack parameters and feed the same to trend up GA. The proposed theoretical approach has been verified by comparing with the results obtained from GA.